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Finding the Third Proportional to 2,106,600 and 3,178,512

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Solution

The third proportional to 2,106,600 and 3,178,512 is: 4,795,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,600 : 3,178,512 = 3,178,512 : x
  2. Step 2: Convert to fraction form
    2,106,600/3,178,512 = 3,178,512/x
  3. Step 3: Cross multiply
    2,106,600x = 3,178,512 × 3,178,512
  4. Step 4: Simplify right side
    2,106,600x = 10,102,938,534,144
  5. Step 5: Solve for x
    x = 10,102,938,534,144/2,106,600
  6. Step 6: Final answer
    x = 4,795,850.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.